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In the Following Figure the Value of Cos ϕ is - Mathematics

MCQ

In the following figure  the value of cos ϕ is 

Options

  • \[\frac{5}{4}\]

  • \[\frac{5}{3}\]

  • \[\frac{3}{5}\]

  • \[\frac{4}{5}\]

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Solution

We should proceed with the fact that sum of angles on one side of a straight line is180°.

So from the given figure, 

θ+∅+90°=180° `

So , `θ=90°-∅.............(1) ` 

Now from the triangle ΔABC, 

`sin ∅=4/5` 

Now we will use equation (1) in the above, 

`sin(90°-∅)=4/5` 

Therefore, `cos∅=4/5` 

 

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 10 Trigonometric Ratios
Q 34 | Page 59
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